440 lines
11 KiB
FortranFixed
440 lines
11 KiB
FortranFixed
SUBROUTINE CLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
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$ CNDNUM, DIST )
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*
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* -- LAPACK test routine (version 3.1) --
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* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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* November 2006
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*
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* .. Scalar Arguments ..
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CHARACTER DIST, TYPE
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CHARACTER*3 PATH
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INTEGER IMAT, KL, KU, M, MODE, N
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REAL ANORM, CNDNUM
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* ..
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*
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* Purpose
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* =======
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*
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* CLATB4 sets parameters for the matrix generator based on the type of
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* matrix to be generated.
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*
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* Arguments
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* =========
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*
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* PATH (input) CHARACTER*3
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* The LAPACK path name.
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*
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* IMAT (input) INTEGER
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* An integer key describing which matrix to generate for this
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* path.
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*
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* M (input) INTEGER
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* The number of rows in the matrix to be generated.
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*
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* N (input) INTEGER
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* The number of columns in the matrix to be generated.
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*
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* TYPE (output) CHARACTER*1
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* The type of the matrix to be generated:
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* = 'S': symmetric matrix
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* = 'P': symmetric positive (semi)definite matrix
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* = 'N': nonsymmetric matrix
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*
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* KL (output) INTEGER
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* The lower band width of the matrix to be generated.
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*
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* KU (output) INTEGER
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* The upper band width of the matrix to be generated.
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*
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* ANORM (output) REAL
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* The desired norm of the matrix to be generated. The diagonal
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* matrix of singular values or eigenvalues is scaled by this
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* value.
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*
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* MODE (output) INTEGER
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* A key indicating how to choose the vector of eigenvalues.
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*
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* CNDNUM (output) REAL
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* The desired condition number.
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*
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* DIST (output) CHARACTER*1
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* The type of distribution to be used by the random number
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* generator.
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*
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* =====================================================================
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*
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* .. Parameters ..
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REAL SHRINK, TENTH
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PARAMETER ( SHRINK = 0.25E0, TENTH = 0.1E+0 )
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REAL ONE
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PARAMETER ( ONE = 1.0E+0 )
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REAL TWO
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PARAMETER ( TWO = 2.0E+0 )
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* ..
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* .. Local Scalars ..
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LOGICAL FIRST
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CHARACTER*2 C2
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INTEGER MAT
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REAL BADC1, BADC2, EPS, LARGE, SMALL
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* ..
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* .. External Functions ..
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LOGICAL LSAMEN
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REAL SLAMCH
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EXTERNAL LSAMEN, SLAMCH
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, MAX, SQRT
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* ..
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* .. External Subroutines ..
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EXTERNAL SLABAD
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* ..
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* .. Save statement ..
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SAVE EPS, SMALL, LARGE, BADC1, BADC2, FIRST
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* ..
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* .. Data statements ..
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DATA FIRST / .TRUE. /
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* ..
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* .. Executable Statements ..
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*
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* Set some constants for use in the subroutine.
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*
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IF( FIRST ) THEN
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FIRST = .FALSE.
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EPS = SLAMCH( 'Precision' )
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BADC2 = TENTH / EPS
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BADC1 = SQRT( BADC2 )
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SMALL = SLAMCH( 'Safe minimum' )
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LARGE = ONE / SMALL
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*
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* If it looks like we're on a Cray, take the square root of
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* SMALL and LARGE to avoid overflow and underflow problems.
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*
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CALL SLABAD( SMALL, LARGE )
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SMALL = SHRINK*( SMALL / EPS )
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LARGE = ONE / SMALL
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END IF
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*
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C2 = PATH( 2: 3 )
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*
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* Set some parameters we don't plan to change.
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*
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DIST = 'S'
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MODE = 3
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*
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* xQR, xLQ, xQL, xRQ: Set parameters to generate a general
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* M x N matrix.
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*
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IF( LSAMEN( 2, C2, 'QR' ) .OR. LSAMEN( 2, C2, 'LQ' ) .OR.
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$ LSAMEN( 2, C2, 'QL' ) .OR. LSAMEN( 2, C2, 'RQ' ) ) THEN
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the lower and upper bandwidths.
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*
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IF( IMAT.EQ.1 ) THEN
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KL = 0
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KU = 0
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ELSE IF( IMAT.EQ.2 ) THEN
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KL = 0
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KU = MAX( N-1, 0 )
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ELSE IF( IMAT.EQ.3 ) THEN
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KL = MAX( M-1, 0 )
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KU = 0
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ELSE
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KL = MAX( M-1, 0 )
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KU = MAX( N-1, 0 )
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END IF
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.5 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.6 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.7 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.8 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'GE' ) ) THEN
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*
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* xGE: Set parameters to generate a general M x N matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the lower and upper bandwidths.
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*
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IF( IMAT.EQ.1 ) THEN
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KL = 0
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KU = 0
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ELSE IF( IMAT.EQ.2 ) THEN
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KL = 0
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KU = MAX( N-1, 0 )
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ELSE IF( IMAT.EQ.3 ) THEN
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KL = MAX( M-1, 0 )
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KU = 0
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ELSE
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KL = MAX( M-1, 0 )
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KU = MAX( N-1, 0 )
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END IF
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.8 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.9 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.10 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.11 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'GB' ) ) THEN
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*
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* xGB: Set parameters to generate a general banded matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.5 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.6 ) THEN
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CNDNUM = TENTH*BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.7 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.8 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'GT' ) ) THEN
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*
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* xGT: Set parameters to generate a general tridiagonal matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the lower and upper bandwidths.
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*
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IF( IMAT.EQ.1 ) THEN
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KL = 0
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ELSE
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KL = 1
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END IF
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KU = KL
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.3 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.4 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.5 .OR. IMAT.EQ.11 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.6 .OR. IMAT.EQ.12 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'PO' ) .OR. LSAMEN( 2, C2, 'PP' ) .OR.
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$ LSAMEN( 2, C2, 'HE' ) .OR. LSAMEN( 2, C2, 'HP' ) .OR.
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$ LSAMEN( 2, C2, 'SY' ) .OR. LSAMEN( 2, C2, 'SP' ) ) THEN
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*
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* xPO, xPP, xHE, xHP, xSY, xSP: Set parameters to generate a
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* symmetric or Hermitian matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = C2( 1: 1 )
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*
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* Set the lower and upper bandwidths.
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*
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IF( IMAT.EQ.1 ) THEN
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KL = 0
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ELSE
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KL = MAX( N-1, 0 )
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END IF
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KU = KL
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.6 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.7 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.8 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.9 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'PB' ) ) THEN
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*
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* xPB: Set parameters to generate a symmetric band matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'P'
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*
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* Set the norm and condition number.
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*
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IF( IMAT.EQ.5 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.6 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.7 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.8 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'PT' ) ) THEN
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*
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* xPT: Set parameters to generate a symmetric positive definite
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* tridiagonal matrix.
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*
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TYPE = 'P'
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IF( IMAT.EQ.1 ) THEN
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KL = 0
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ELSE
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KL = 1
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END IF
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KU = KL
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*
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* Set the condition number and norm.
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*
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IF( IMAT.EQ.3 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.4 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.5 .OR. IMAT.EQ.11 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.6 .OR. IMAT.EQ.12 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'TR' ) .OR. LSAMEN( 2, C2, 'TP' ) ) THEN
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*
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* xTR, xTP: Set parameters to generate a triangular matrix
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the lower and upper bandwidths.
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*
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MAT = ABS( IMAT )
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IF( MAT.EQ.1 .OR. MAT.EQ.7 ) THEN
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KL = 0
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KU = 0
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ELSE IF( IMAT.LT.0 ) THEN
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KL = MAX( N-1, 0 )
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KU = 0
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ELSE
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KL = 0
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KU = MAX( N-1, 0 )
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END IF
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*
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* Set the condition number and norm.
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*
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IF( MAT.EQ.3 .OR. MAT.EQ.9 ) THEN
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CNDNUM = BADC1
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ELSE IF( MAT.EQ.4 .OR. MAT.EQ.10 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( MAT.EQ.5 ) THEN
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ANORM = SMALL
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ELSE IF( MAT.EQ.6 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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*
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ELSE IF( LSAMEN( 2, C2, 'TB' ) ) THEN
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*
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* xTB: Set parameters to generate a triangular band matrix.
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*
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* Set TYPE, the type of matrix to be generated.
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*
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TYPE = 'N'
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*
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* Set the norm and condition number.
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*
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IF( IMAT.EQ.2 .OR. IMAT.EQ.8 ) THEN
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CNDNUM = BADC1
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ELSE IF( IMAT.EQ.3 .OR. IMAT.EQ.9 ) THEN
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CNDNUM = BADC2
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ELSE
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CNDNUM = TWO
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END IF
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*
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IF( IMAT.EQ.4 ) THEN
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ANORM = SMALL
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ELSE IF( IMAT.EQ.5 ) THEN
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ANORM = LARGE
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ELSE
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ANORM = ONE
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END IF
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END IF
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IF( N.LE.1 )
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$ CNDNUM = ONE
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*
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RETURN
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*
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* End of CLATB4
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*
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END
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